editing disabled

The temperaments listed are 17edo-distinct, meaning that they are all different even if tuned in 17edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the patent val was chosen as the representative for each class of edo-distinctness.


7-limit temperaments

Period generator
Wedgie
Name
Complexity
Commas
17 7
<<1 -8 -2 -15 -6 18]]
Schism
2.544
64/63 360/343
17 5
<<2 1 -4 -3 -12 -12]]
Dichotic
1.588
25/24 64/63
17 8
<<3 10 11 9 9 -3]]

2.822
200/189 375/343
17 6
<<4 2 9 -6 3 15]]
Sidi
2.074
25/24 245/243
17 2
<<5 11 7 6 -3 -15]]

2.799
200/189 245/243
17 4
<<6 3 5 -9 -9 3]]

2.216
25/24 360/343
17 1
<<7 12 3 3 -15 -27]]

3.572
200/189 1728/1715
17 3
<<8 4 1 -12 -21 -9]]

3.250
25/24 2560/2401

11-limit temperaments

Period generator
Wedgie
Name
Complexity
Commas
17 7
<<1 -8 -2 -6 -15 -6 -13 18 14 -10]]

2.271
45/44 64/63 99/98
17 5
<<2 1 -4 5 -3 -12 1 -12 8 28]]
Dichotic
1.630
25/24 45/44 64/63
17 8
<<3 -7 -6 -1 -18 -18 -12 6 22 18]]

2.724
45/44 64/63 375/343
17 6
<<4 2 9 10 -6 3 2 15 16 -3]]
Sidi
1.958
25/24 45/44 99/98
17 2
<<5 11 7 4 6 -3 -11 -15 -29 -13]]

2.592
55/54 80/77 99/98
17 4
<<6 3 5 -2 -9 -9 -24 3 -15 -23]]

2.409
25/24 80/77 99/98
17 1
<<7 12 3 9 3 -15 -10 -27 -21 15]]

3.096
55/54 80/77 245/242
17 3
<<8 4 1 3 -12 -21 -23 -9 -7 5]]

2.877
25/24 80/77 245/242

13-limit temperaments

Period generator
Wedgie
Name
Complexity
Commas
17 7
<<1 -8 -2 -6 -9 -15 -6 -13 -18 18 14 9 -10 -18 -9]]

2.183
40/39 45/44 78/77 99/98
17 5
<<2 1 -4 5 -1 -3 -12 1 -9 -12 8 -6 28 12 -22]]

1.500
25/24 40/39 45/44 65/63 8
17 8
<<3 10 11 16 7 9 9 15 0 -3 2 -21 7 -21 -35]]

2.560
40/39 45/44 65/63 99/98
17 6
<<4 2 9 10 15 -6 3 2 9 15 16 27 -3 9 15]]

2.147
25/24 45/44 65/63 99/98
17 2
<<5 11 7 4 6 6 -3 -11 -9 -15 -29 -27 -13 -9 6]]

2.353
40/39 55/54 65/63 99/98
17 4
<<6 3 5 15 14 -9 -9 3 0 3 24 21 25 21 -7]]

2.433
25/24 45/44 65/63 352/343
17 1
<<7 12 3 9 5 3 -15 -10 -18 -27 -21 -33 15 3 -16]]

2.869
40/39 55/54 65/63 245/242
17 3
<<8 4 1 3 13 -12 -21 -23 -9 -9 -7 15 5 33 34]]

2.801
25/24 65/63 80/77 364/363